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Finding the Third Proportional to 41,022 and 96,585

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Solution

The third proportional to 41,022 and 96,585 is: 227,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,022 : 96,585 = 96,585 : x
  2. Step 2: Convert to fraction form
    41,022/96,585 = 96,585/x
  3. Step 3: Cross multiply
    41,022x = 96,585 × 96,585
  4. Step 4: Simplify right side
    41,022x = 9,328,662,225
  5. Step 5: Solve for x
    x = 9,328,662,225/41,022
  6. Step 6: Final answer
    x = 227,406.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.